Homotopy Theory of C*-Algebras

DOI10.1007/978-3-0346-0565-6zbMath1213.46072arXiv0812.0154OpenAlexW2103915902MaRDI QIDQ3583551

Paul Arne Østvær

Publication date: 17 August 2010

Published in: Frontiers in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0154

zbMATH Keywords

\(C^*\)-algebraspectrumhomotopy theorycubical space

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Stable homotopy theory, spectra (55P42) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Relations of (K)-theory with cohomology theories (19E20) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (9)

Homotopical Morita theory for corings ⋮ Model category of diffeological spaces ⋮ Colocalizations of noncommutative spectra and bootstrap categories ⋮ Left Bousfield localization without left properness ⋮ Homotopical algebra for \(C^\ast\)-algebras ⋮ Motivic homotopical Galois extensions ⋮ \(C^\ast\)-algebraic drawings of dendroidal sets ⋮ Noncommutative stable homotopy and stable infinity categories ⋮ Arrow categories of monoidal model categories

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